Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6171d |
Isogeny class |
Conductor |
6171 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
557547449481 = 32 · 118 · 172 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2060,-2059] |
[a1,a2,a3,a4,a6] |
Generators |
[511560:15899279:512] |
Generators of the group modulo torsion |
j |
545338513/314721 |
j-invariant |
L |
6.2934758054669 |
L(r)(E,1)/r! |
Ω |
0.77320705286413 |
Real period |
R |
8.1394443857625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736bv2 18513r2 561d2 104907l2 |
Quadratic twists by: -4 -3 -11 17 |